>Logitech also does not support any longer the MX 5500. So, I will have to look for a new bluetooth keyboard soon.

Using this one for years https://www.logitech.com/en-ca/product/k750-keyboard?crid=27#specification-tabular

Included a unifying receiver ( https://www.logitech.com/en-ca/product/unifying-receiver-usb?crid=7 ) to which you can add a mouse